Least Common Multiple of 2438 and 2442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2438 and 2442 the smallest integer that is 2976798 that is divisible by both numbers.

Least Common Multiple (LCM) of 2438 and 2442 is 2976798.

LCM(2438,2442) = 2976798

LCM of 2438 and 2442

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2438 and 2442

LCM of 2438 and 2442 is 2976798

Least common multiple can be found by multiplying the highest exponent prime factors of 2438 and 2442. First we will calculate the prime factors of 2438 and 2442.

Prime Factorization of 2438


2 2438
23 1219
53 53
1

Prime factors of 2438 are 2, 23,53. Prime factorization of 2438 in exponential form is:

2438 = 21×231×531

Prime Factorization of 2442


2 2442
3 1221
11 407
37 37
1

Prime factors of 2442 are 2, 3, 11,37. Prime factorization of 2442 in exponential form is:

2442 = 21×31×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2438 and 2442.

LCM(2438,2442) = 21×31×111×231×371×531
LCM(2438,2442) = 2976798

Factors of 2438

List of positive integer factors of 2438 that divides 2438 without a remainder.

1, 2, 23, 46, 53, 106, 1219, 2438

Factors of 2442

List of positive integer factors of 2442 that divides 2442 without a remainder.

1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221, 2442

Least Common Multiple of 2438 and 2442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2438 and 2442, than apply into the LCM equation.

GCF(2438,2442) = 2
LCM(2438,2442) = ( 2438 × 2442) / 2
LCM(2438,2442) = 5953596 / 2
LCM(2438,2442) = 2976798

Properties of LCM 2438 and 2442

(i) The LCM of 2442 and 2438 is associative

LCM of 2438 and 2442 = LCM of 2442 and 2438

Related Least Common Multiples of 2438

Related Least Common Multiples of 2442

Frequently Asked Questions on LCM of 2438 and 2442

1. What is the LCM of 2438 and 2442?

Answer: LCM of 2438 and 2442 is 2976798.

2. What are the Factors of 2438?

Answer: Factors of 2438 are 1, 2, 23, 46, 53, 106, 1219, 2438. There are 8 integers that are factors of 2438. The greatest factor of 2438 is 2438.

3. What are the Factors of 2442?

Answer: Factors of 2442 are 1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221, 2442. There are 16 integers that are factors of 2442. The greatest factor of 2442 is 2442.

4. How to Find the LCM of 2438 and 2442?

Answer:

Least Common Multiple of 2438 and 2442 = 2976798

Step 1: Find the prime factorization of 2438

2438 = 2 x 23 x 53

Step 2: Find the prime factorization of 2442

2442 = 2 x 3 x 11 x 37

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2976798 = 2 x 3 x 11 x 23 x 37 x 53

Step 4: Therefore, the least common multiple of 2438 and 2442 is 2976798.